3073928832 has 384 divisors, whose sum is σ = 10378296000. Its totient is φ = 892809216.

The previous prime is 3073928801. The next prime is 3073928861. The reversal of 3073928832 is 2388293703.

It is a happy number.

3073928832 is a `hidden beast` number, since 307 + 39 + 288 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11097078 + ... + 11097354.

Almost surely, 2^3073928832 is an apocalyptic number.

3073928832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3073928832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5189148000).

3073928832 is an abundant number, since it is smaller than the sum of its proper divisors (7304367168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3073928832 is a wasteful number, since it uses less digits than its factorization.

3073928832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3073928832 is about 55443.0232941891. The cubic root of 3073928832 is about 1454.0006571696. Note that the first 3 decimals are identical.

The spelling of 3073928832 in words is "three billion, seventy-three million, nine hundred twenty-eight thousand, eight hundred thirty-two".